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1010969328 = 2431719197331
BaseRepresentation
bin111100010000100…
…010101011110000
32121110022120012110
4330100202223300
54032302004303
6244152325320
734024045305
oct7420425360
92543276173
101010969328
11479736246
122426a3840
131315ab005
14983a50ac
155db4b703
hex3c422af0

1010969328 has 160 divisors (see below), whose sum is σ = 2934455040. Its totient is φ = 298045440.

The previous prime is 1010969291. The next prime is 1010969353. The reversal of 1010969328 is 8239690101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054123 + ... + 3054453.

It is an arithmetic number, because the mean of its divisors is an integer number (18340344).

Almost surely, 21010969328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010969328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467227520).

1010969328 is an abundant number, since it is smaller than the sum of its proper divisors (1923485712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010969328 is a wasteful number, since it uses less digits than its factorization.

1010969328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1010969328 is about 31795.7438661215. The cubic root of 1010969328 is about 1003.6431539778.

The spelling of 1010969328 in words is "one billion, ten million, nine hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 197 204 228 272 304 323 331 394 408 456 591 646 662 788 816 912 969 993 1182 1292 1324 1576 1938 1986 2364 2584 2648 3152 3349 3743 3876 3972 4728 5168 5296 5627 6289 6698 7486 7752 7944 9456 10047 11229 11254 12578 13396 14972 15504 15888 16881 18867 20094 22458 22508 25156 26792 29944 33762 37734 40188 44916 45016 50312 53584 59888 63631 65207 67524 75468 80376 89832 90032 100624 106913 127262 130414 135048 150936 160752 179664 190893 195621 213826 254524 260828 270096 301872 320739 381786 391242 427652 509048 521656 641478 763572 782484 855304 1018096 1043312 1108519 1238933 1282956 1527144 1564968 1710608 2217038 2477866 2565912 3054288 3129936 3325557 3716799 4434076 4955732 5131824 6651114 7433598 8868152 9911464 13302228 14867196 17736304 19822928 21061861 26604456 29734392 42123722 53208912 59468784 63185583 84247444 126371166 168494888 252742332 336989776 505484664 1010969328